Local shell-to-shell energy transfer via nonlocal interactions in fluid turbulence

Pramana

Amar V Chandra¹  Olivier Debliquy²  Shishir Kumar³  Mahendra K Verma1¹  Arvind Ayyer⁴ 

[1] Department of Physics, Indian Institute of Technology, Kanpur 208 016, India$$;Université Libre de Bruxelles, Statistical and Plasma Physics, CP231, Campus Plaine, 1050 Brussels, Belgium$$;Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India$$;Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, USA$$

关键词: Homogeneous and isotropic turbulence;    local transfer.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we analytically compute the strength of nonlinear interactions in a triad, and the energy exchanges between wave-number shells in incompressible fluid turbulence. The computation has been done using first-order perturbative field theory. In three dimensions, magnitude of triad interactions is large for nonlocal triads, and small for local triads. However, the shell-to-shell energy transfer rate is found to be local and forward. This result is due to the fact that the nonlocal triads occupy much less Fourier space volume than the local ones. The analytical results on three-dimensional shell-to-shell energy transfer match with their numerical counterparts. In two-dimensional turbulence, the energy transfer rates to the nearby shells are forward, but to the distant shells are backward; the cumulative effect is an inverse cascade of energy.

【 授权许可】

Unknown